Signals and systems :: with MATLAB Computing and Simulink modeling /
Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundame...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Fremont :
Orchard Publications,
2012.
|
Ausgabe: | 5th ed. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundamentals. The expanded fifth edition contains additional information on window functions, the cross correlation and autocorrelation functions, a discussion on nonlinear systems including an example that derives its describing function, as well as additional end-of-chapter exercises. |
Beschreibung: | 2.2.3 Frequency Shifting Property. |
Beschreibung: | 1 online resource (671 pages) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781934404249 1934404241 |
Internformat
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245 | 1 | 0 | |a Signals and systems : |b with MATLAB Computing and Simulink modeling / |c Steven T. Karris. |
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260 | |a Fremont : |b Orchard Publications, |c 2012. | ||
300 | |a 1 online resource (671 pages) | ||
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505 | 0 | |a Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2). | |
505 | 8 | |a Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5). | |
505 | 8 | |a To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable. | |
505 | 8 | |a Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property. | |
505 | 8 | |a The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as. | |
500 | |a 2.2.3 Frequency Shifting Property. | ||
520 | |a Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundamentals. The expanded fifth edition contains additional information on window functions, the cross correlation and autocorrelation functions, a discussion on nonlinear systems including an example that derives its describing function, as well as additional end-of-chapter exercises. | ||
588 | 0 | |a Print version record. | |
504 | |a Includes bibliographical references and index. | ||
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contents | Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2). Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5). To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable. Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property. The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as. |
ctrlnum | (OCoLC)782879147 |
dewey-full | 507 510 530 620 |
dewey-hundreds | 500 - Natural sciences and mathematics 600 - Technology (Applied sciences) |
dewey-ones | 507 - Education, research, related topics 510 - Mathematics 530 - Physics 620 - Engineering and allied operations |
dewey-raw | 507 510 530 620 |
dewey-search | 507 510 530 620 |
dewey-sort | 3507 |
dewey-tens | 500 - Natural sciences and mathematics 510 - Mathematics 530 - Physics 620 - Engineering and allied operations |
discipline | Allgemeine Naturwissenschaft |
edition | 5th ed. |
format | Electronic eBook |
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Karris.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">5th ed.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Fremont :</subfield><subfield code="b">Orchard Publications,</subfield><subfield code="c">2012.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (671 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">data file</subfield><subfield code="2">rda</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. 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Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... 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id | ZDB-4-EBA-ocn782879147 |
illustrated | Not Illustrated |
indexdate | 2024-11-27T13:18:19Z |
institution | BVB |
isbn | 9781934404249 1934404241 |
language | English |
oclc_num | 782879147 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (671 pages) |
psigel | ZDB-4-EBA |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | Orchard Publications, |
record_format | marc |
spelling | Karris, Steven T. http://id.loc.gov/authorities/names/n2003001793 Signals and systems : with MATLAB Computing and Simulink modeling / Steven T. Karris. 5th ed. Fremont : Orchard Publications, 2012. 1 online resource (671 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2). Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5). To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable. Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property. The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as. 2.2.3 Frequency Shifting Property. Written for junior and senior electrical and computer engineering students, this text is an introduction to signal and system analysis, digital signal processing, and the design of analog and digital filters. The text also serves as a self-study guide for professionals who want to review the fundamentals. The expanded fifth edition contains additional information on window functions, the cross correlation and autocorrelation functions, a discussion on nonlinear systems including an example that derives its describing function, as well as additional end-of-chapter exercises. Print version record. Includes bibliographical references and index. MATLAB. http://id.loc.gov/authorities/names/n92036881 SIMULINK. http://id.loc.gov/authorities/names/n95046019 MATLAB fast SIMULINK fast Signal processing Mathematics. System analysis. http://id.loc.gov/authorities/subjects/sh85131733 Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Traitement du signal Mathématiques. Analyse de systèmes. systems analysis. aat SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh SCIENCE Study & Teaching. bisacsh TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Signal processing Mathematics fast System analysis fast has work: Signals and systems with MATLAB computing and Simulink modeling (Text) https://id.oclc.org/worldcat/entity/E39PCGWVyYRMHDFD8Cjmwpdb3P https://id.oclc.org/worldcat/ontology/hasWork Print version: Karris, Steven. Signals and Systems : with MATLAB Copmputing and Simulink Modeling. Fremont : Orchard Publications, ©2012 9781934404232 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=443007 Volltext |
spellingShingle | Karris, Steven T. Signals and systems : with MATLAB Computing and Simulink modeling / Preface Signals and Systems Fifth; Preface; TOC Signals and Systems Fifth; Chapter 01 Signals and Systems Fifth; Chapter 02 Signals and Systems Fifth; Chapter 2; The Laplace Transformation; his chapter begins with an introduction to the Laplace transformation, definitions, and properties of the Laplace transformation. The initial value and final value theorems are also discussed and proved. It continues with the derivation of the Laplac ... ; 2.1 Definition of the Laplace Transformation; The two-sided or bilateral Laplace Transform pair is defined as; (2.1); (2.2). Where denotes the Laplace transform of the time function, denotes the Inverse Laplace transform, and is a complex variable whose real part is, and imaginary part, that is, .In most problems, we are concerned with values of time greater than some reference time, say, and since the initial conditions are generally known, the two-sided Laplace transform pair of (2.1) and (2.2) simplifies to the unilateral or one-sided Lap ... ; (2.3); (2.4); The Laplace Transform of (2.3) has meaning only if the integral converges (reaches a limit), that is, if; (2.5). To determine the conditions that will ensure us that the integral of (2.3) converges, we rewrite (2.5) as(2.6); The term in the integral of (2.6) has magnitude of unity, i.e., and thus the condition for convergence becomes; (2.7); Fortunately, in most engineering applications the functions are of exponential order. Then, we can express (2.7) as, ; (2.8); and we see that the integral on the right side of the inequality sign in (2.8), converges if . Therefore, we conclude that if is of exponential order, exists if; (2.9); where denotes the real part of the complex variable. Evaluation of the integral of (2.4) involves contour integration in the complex plane, and thus, it will not be attempted in this chapter. We will see in the next chapter that many Laplace transforms can be inverted with the use of a few standard pai ... In our subsequent discussion, we will denote transformation from the time domain to the complex frequency domain, and vice versa, as; (2.10); 2.2 Properties and Theorems of the Laplace Transform; The most common properties and theorems of the Laplace transform are presented in Subsections 2.2.1 through 2.2.13 below.; 2.2.1 Linearity Property. The linearity property states that ifhave Laplace transforms; respectively, and; are arbitrary constants, then, ; (2.11); Proof:; Note 1:; It is desirable to multiply by the unit step function to eliminate any unwanted non-zero values of for .; 2.2.2 Time Shifting Property; The time shifting property states that a right shift in the time domain by units, corresponds to multiplication by in the complex frequency domain. Thus, ; (2.12); Proof:; (2.13); Now, we let ; then, and . With these substitutions and with, the second integral on the right side of (2.13) is expressed as. MATLAB. http://id.loc.gov/authorities/names/n92036881 SIMULINK. http://id.loc.gov/authorities/names/n95046019 MATLAB fast SIMULINK fast Signal processing Mathematics. System analysis. http://id.loc.gov/authorities/subjects/sh85131733 Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Traitement du signal Mathématiques. Analyse de systèmes. systems analysis. aat SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh SCIENCE Study & Teaching. bisacsh TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Signal processing Mathematics fast System analysis fast |
subject_GND | http://id.loc.gov/authorities/names/n92036881 http://id.loc.gov/authorities/names/n95046019 http://id.loc.gov/authorities/subjects/sh85131733 https://id.nlm.nih.gov/mesh/D013597 |
title | Signals and systems : with MATLAB Computing and Simulink modeling / |
title_auth | Signals and systems : with MATLAB Computing and Simulink modeling / |
title_exact_search | Signals and systems : with MATLAB Computing and Simulink modeling / |
title_full | Signals and systems : with MATLAB Computing and Simulink modeling / Steven T. Karris. |
title_fullStr | Signals and systems : with MATLAB Computing and Simulink modeling / Steven T. Karris. |
title_full_unstemmed | Signals and systems : with MATLAB Computing and Simulink modeling / Steven T. Karris. |
title_short | Signals and systems : |
title_sort | signals and systems with matlab computing and simulink modeling |
title_sub | with MATLAB Computing and Simulink modeling / |
topic | MATLAB. http://id.loc.gov/authorities/names/n92036881 SIMULINK. http://id.loc.gov/authorities/names/n95046019 MATLAB fast SIMULINK fast Signal processing Mathematics. System analysis. http://id.loc.gov/authorities/subjects/sh85131733 Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Traitement du signal Mathématiques. Analyse de systèmes. systems analysis. aat SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh SCIENCE Study & Teaching. bisacsh TECHNOLOGY & ENGINEERING Engineering (General) bisacsh TECHNOLOGY & ENGINEERING Reference. bisacsh Signal processing Mathematics fast System analysis fast |
topic_facet | MATLAB. SIMULINK. MATLAB SIMULINK Signal processing Mathematics. System analysis. Systems Analysis Traitement du signal Mathématiques. Analyse de systèmes. systems analysis. SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. SCIENCE Study & Teaching. TECHNOLOGY & ENGINEERING Engineering (General) TECHNOLOGY & ENGINEERING Reference. Signal processing Mathematics System analysis |
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work_keys_str_mv | AT karrisstevent signalsandsystemswithmatlabcomputingandsimulinkmodeling |